A partially persistent data structure for the set-union problem

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Effect of Relocation and Rotation on Radial Efficiency Scores for a Partially Negative Data Problem

   Negative data handling has gained a remarkable importance in the literature of Data Envelopment Analysis (DEA) to address many real life problems. Various erstwhile applications, in this arena, referred relocation of the origin to a superior (RDM) or to an inferior (Translated Input Oriented BCC) neighboring point. In this paper, the conditions for Rotation Invariance of various Data Envelop...

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This paper is about an applicative solution to the IMPERATIVE Set Union Problem, as posed by Peyton-Jones [3]. The adjectivisation is used here to emphasise that the problem was thought to pose significant questions in finding an applicative solution of the same order of complexity as the imperative version. We show one such solution, written in the style of KRC [5]. The same reasoning, when ap...

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The Set Union Problem With Unlimited Backtracking

An extension of the disjoint set union problem is considered, where the extra primitive backtrack(i) can undo the last i unions not yet undone. Let n be the total number of elements in all the sets. A data structure is presented that supports each union and find in O(lognj loglogn) worst-case time and each backtrack(i) in 0(1) worst-case time, irrespective of i. The total space required by the ...

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ژورنال

عنوان ژورنال: RAIRO - Theoretical Informatics and Applications

سال: 1990

ISSN: 0988-3754,1290-385X

DOI: 10.1051/ita/1990240201891